A population is the number of organisms of a particular species that live in an area. The carrying capacity is the maximum number of individuals of a particular species that a region can support. Carrying capacity would greatly depend on what resources are available for that particular species.
Carrying capacity is the maximum amount of organisms a certain ecosystem can sustain with the resources available in a given ecosystem. Factors that could either increase or decrease the K, carry capacity, would be: drastic weather causing depletion of resources, decreases in competition, etc.